100040616 has 128 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 29424384.

The previous prime is 100040599. The next prime is 100040641. The reversal of 100040616 is 616040001.

100040616 is a `hidden beast` number, since 10 + 0 + 0 + 40 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63810 + ... + 65358.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 2^100040616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100040616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

100040616 is an abundant number, since it is smaller than the sum of its proper divisors (212439384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100040616 is a wasteful number, since it uses less digits than its factorization.

100040616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100040616 is about 10002.0305938344. The cubic root of 100040616 is about 464.2217157794.

Adding to 100040616 its reverse (616040001), we get a palindrome (716080617).

It can be divided in two parts, 1000 and 40616, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 100040616 in words is "one hundred million, forty thousand, six hundred sixteen".